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On the Dirac and Pauli Operators with Several Aharonov-Bohm Solenoids

Mikael Persson (Institutionen för matematiska vetenskaper, matematik)
Letters in Mathematical Physics (0377-9017). Vol. 78 (2006), p. 139-156.
[Artikel, refereegranskad vetenskaplig]

We study the self-adjoint Pauli operators that can be realized as the square of a self-adjoint Dirac operator and correspond to a magnetic field consisting of a finite number of Aharonov-Bohm solenoids and a regular part, and prove an Aharonov-Casher type formula for the number of zero-modes for these operators. We also see that essentially only one of the Pauli operators are spin-flip invariant, and this operator does not have any zero-modes.

Nyckelord: Schrödinger operator, spectral analysis

Denna post skapades 2007-01-08. Senast ändrad 2013-01-24.
CPL Pubid: 25013


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Matematisk analys

Chalmers infrastruktur